40963416729600 has 864 divisors, whose sum is σ = 145687119177600. Its totient is φ = 10150005964800.

The previous prime is 40963416729589. The next prime is 40963416729601. The reversal of 40963416729600 is 692761436904.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40963416729601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3506835760 + ... + 3506847440.

It is an arithmetic number, because the mean of its divisors is an integer number (168619350900).

Almost surely, 2^{40963416729600} is an apocalyptic number.

40963416729600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40963416729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72843559588800).

40963416729600 is an abundant number, since it is smaller than the sum of its proper divisors (104723702448000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40963416729600 is a wasteful number, since it uses less digits than its factorization.

40963416729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11829 (or 11787 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 40963416729600 in words is "forty trillion, nine hundred sixty-three billion, four hundred sixteen million, seven hundred twenty-nine thousand, six hundred".